If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is
. Now we will multiply in that last factor of (x-4):
. FOILing out we have
. There you go!
x=15-657/2=15-373/2=-5.316
x=15+657/2=15+373=20.316
You will get the same answers but with more zeros. For example 7x20 is 140, and 7x2000 is 14,000 but with more zero's
Y= 1/6 x + 7. To find a line that is perpendicular just take the slope and find the negative reciprocal. ex. A/B becomes -B/A. Hope this helped
Area of a square is given by multiplying the length by the width, but since a square has four sides of equal length, we will end up multiplying two numbers that are the same.
We want a minimum area of 80 square feet and at the maximum of 125 square feet
Think of the square numbers that are in between 80 and 125
8 × 8 = 64
9 × 9 = 81
10 × 10 = 100
11 × 11 = 121
12 × 12 = 144
There are three possible measurements of the patio:
9 by 9 and number of tiles left = 125 - 81 = 44 tiles
10 by 10 and number of tiles left = 125 - 100 = 25 tiles
11 by 11 and number of tiles left = 125 - 121 = 4 tiles
